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Finding the Fourth Proportional to 1,771.96, 2,440.20 and 1,766.56

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Solution

The fourth proportional to 1,771.96, 2,440.20 and 1,766.56 is: 2,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.96 : 2,440.20 = 1,766.56 : x
  2. Step 2: Convert to fraction form
    1,771.96/2,440.20 = 1,766.56/x
  3. Step 3: Cross multiply
    1,771.96x = 2,440.20 × 1,766.56
  4. Step 4: Simplify right side
    1,771.96x = 4,310,759.71
  5. Step 5: Solve for x
    x = 4,310,759.71/1,771.96
  6. Step 6: Final answer
    x = 2,432.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.